Details

sample2.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 4.736328%

Guaranteed chance to sample good point: 39.197847%

Results

13.0ms	256×	body	80	valid
2.0ms	57×	body	80	invalid

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	4
1	32	4
2	69	4
3	148	4
4	238	4
5	364	4
6	518	4
7	638	4
8	740	4
9	813	4
10	842	4
11	842	4

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 5.7b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(- x (/ (* y (- z t)) a))
5.7b	(/ (* y (- z t)) a)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`sub-neg` `flip3--` `times-frac` `associate-l` `associate-/r*` `flip--`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

6.0ms	(* y (- z t))
4.0ms	(- x (/ (* y (- z t)) a))
7.0ms	(/ (* y (- z t)) a)

series34.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* y (- z t))
15.0ms	(- x (/ (* y (- z t)) a))
12.0ms	(/ (* y (- z t)) a)

simplify41.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	291	345
1	1204	306
2	5001	306

prune94.0ms

Filtered

47 candidates to 72 candidates (-53.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	65	7	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	8	73

Merged error: 0.0b

Counts

73 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt a)
0.5b	(cbrt a)
0.5b	(cbrt a)
4.3b	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
38×	`*-un-lft-identity`
34×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)
22.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series86.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt a)
21.0ms	(cbrt a)
21.0ms	(cbrt a)
19.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify61.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	500	954
1	2500	845
2	5001	783

prune123.0ms

Filtered

84 candidates to 116 candidates (-38.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	116	8	124

Merged error: 0b

Counts

124 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
3.9b	(* (/ y (* (cbrt a) (cbrt a))) (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt 1)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
32×	`add-sqr-sqrt`
22×	`cbrt-prod` `add-cbrt-cube`
20×	`*-un-lft-identity`
19×	`times-frac`
15×	`prod-exp` `cbrt-unprod`
12×	`cbrt-undiv` `add-cube-cbrt` `div-exp`
10×	`associate-r`
8×	`unswap-sqr`
7×	`associate-l`
6×	`pow1` `cbrt-div`
4×	`add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 100

Calls

4 calls:

3.0ms	(cbrt (- z t))
5.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
17.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt 1)))

series127.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (- z t))
28.0ms	(cbrt (- z t))
25.0ms	(cbrt (- z t))
49.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt 1)))

simplify58.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	579	1252
1	2372	1076
2	5002	1015

prune156.0ms

Filtered

81 candidates to 112 candidates (-38.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	112	8	120

Merged error: 0b

Counts

120 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt a)
0.5b	(cbrt a)
2.2b	(/ (* (/ y (cbrt a)) (/ (- z t) (cbrt a))) (cbrt a))
3.0b	(* (/ y (cbrt a)) (/ (- z t) (cbrt a)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

82×	`add-sqr-sqrt`
66×	`times-frac`
52×	`*-un-lft-identity`
42×	`cbrt-prod`
40×	`add-cube-cbrt`
34×	`add-exp-log` `associate-r`
22×	`associate-l`
21×	`add-cbrt-cube`
13×	`cbrt-undiv` `div-exp`
9×	`unswap-sqr`
8×	`prod-exp` `cbrt-unprod`
6×	`pow1` `associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`add-log-exp`
3×	`div-inv` `associate-/l/`
2×	`frac-times` `pow1/3` `associate-r/` `associate-l/`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `associate-/l`

Counts

4 → 143

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
15.0ms	(/ (* (/ y (cbrt a)) (/ (- z t) (cbrt a))) (cbrt a))
23.0ms	(* (/ y (cbrt a)) (/ (- z t) (cbrt a)))

series123.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt a)
22.0ms	(cbrt a)
21.0ms	(/ (* (/ y (cbrt a)) (/ (- z t) (cbrt a))) (cbrt a))
58.0ms	(* (/ y (cbrt a)) (/ (- z t) (cbrt a)))

simplify76.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	671	1279
1	2991	1168
2	5002	1143

prune131.0ms

Filtered

116 candidates to 155 candidates (-33.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	155	8	163

Merged error: 0b

Counts

163 → 8

regimes831.0ms

Accuracy

71.6% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.9b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	16
1	23	16

end0.0ms

sample3.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 4.736328%

Guaranteed chance to sample good point: 39.197847%

Results

296.0ms	8000×	body	80	valid
77.0ms	2175×	body	80	invalid

Details

sample2.5s

simplify42.0ms

prune4.0ms

localize8.0ms

rewrite19.0ms

series34.0ms

simplify41.0ms

prune94.0ms

localize11.0ms

rewrite29.0ms

series86.0ms

simplify61.0ms

prune123.0ms

localize17.0ms

rewrite31.0ms

series127.0ms

simplify58.0ms

prune156.0ms

localize11.0ms

rewrite46.0ms

series123.0ms

simplify76.0ms

prune131.0ms

regimes831.0ms

bsearch3.0ms

simplify2.0ms

end0.0ms

sample3.2s

Profiling